Write a cost function for the problem. Assume that the relationship is linear.
-Fixed cost, $280; 10 items cost $5780 to produce

A) $ C(x)=1100 x+280 $
B) $ C(x)=550 x+5780 $
C) $ C(x)=550 x+280 $
D) $ C(x)=1100 x+5780 $

Question

Write a cost function for the problem. Assume that the relationship is linear.
-Fixed cost, $280; 10 items cost $5780 to produce

A) $ C(x)=1100 x+280 $
B) $ C(x)=550 x+5780 $
C) $ C(x)=550 x+280 $
D) $ C(x)=1100 x+5780 $

Quizplus · Accepted Answer

The cost function is $C(x) = mx + b$, where $m$ is the variable cost per item, $b$ is the fixed cost, and $x$ is the number of items. Given that 10 items cost $5780 and the fixed cost is $280, the total variable cost for 10 items is $5780 - $280 = $5500. Therefore, the variable cost per item is $5500 / 10 = $550. Thus, the cost function is $C(x) = 550x + 280$.

Write a Cost Function for the Problem C(x)=1100x+280 C(x)=1100 x+280 C(x)=1100x+280

Write a Cost Function for the Problem $C(x)=1100 x+280$